I read many papers that looked for sufficient conditions for coproduct of injective modules to be injective modules, but I didn't find the reason why they always look for this. I want to know the philosophy of why the coproduct of injective modules is so important. I know from category theory that coproduct of a collection of objects in a category is the best fit that injects the whole objects without "shrinking" and "collapsing". Thank you so much for any help.
2026-03-28 00:47:45.1774658865
Coproduct of injective modules
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